Rigidity properties for commuting automorphisms on tori and solenoids

2021/01/26 by Einsiedler, Manfred, Lindenstrauss, Elon · 1 citation
#37A17 #37A35 (primary) #37A44 (secondary) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.11120

Abstract

Assuming positive entropy we prove a measure rigidity theorem for higher rank actions on tori and solenoids by commuting automorphisms. We also apply this result to obtain a complete classification of disjointness and measurable factors for these actions.

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• Density of finitely supported invariant measures for automorphisms of compact abelian groups

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